Modified boundary integral formulations for the Helmholtz equation |
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Authors: | S. Engleder |
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Affiliation: | Institut für Numerische Mathematik, TU Graz, Steyrergasse 30, A 8010 Graz, Austria |
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Abstract: | In this paper we describe some modified regularized boundary integral equations to solve the exterior boundary value problem for the Helmholtz equation with either Dirichlet or Neumann boundary conditions. We formulate combined boundary integral equations which are uniquely solvable for all wave numbers even for Lipschitz boundaries Γ=∂Ω. This approach extends and unifies existing regularized combined boundary integral formulations. |
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Keywords: | Helmholtz equation Boundary integral equations Stabilization |
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